TYPE 2- Volterra integral Equation with examples

the Volterra integral equations are a special type of integral equations. They are divided into two groups referred to as the first and the second kind. In operator theory, and in Fredholm theory, the corresponding operators are called Volterra operators. Previous video ( Fredlom Integral equation):-    • TYPE 1 Fredholm integral equation with exa...   Integral Equation:-    • Introduction to Integral Equation & its types   LIKE COMMENT SHARE SUBSCRIBE ------------------------------------------------------------- Follow us Insta;- @kulsanketkumar Integral equation Playlist:-    • INTEGRAL EQUATION   ------------------------------------------------------------------ The standard form of Volterra linear integral equations, where the limits of integration are functions of x rather than constants, are of the form as mention in video. where the unknown function u(x) under the integral sign occurs linearly as stated before. It is worth noting that (10) can be viewed as a special case of Fredholm integral equation when the kernel K(x, t) vanishes for t is greater than x, x is in the range of integration [a, b]. As in Fredholm equations, Volterra integral equations fall under two kinds, depending on the value of (x), namely When phi(x)=0, it is of first kind When phi(x)=1, it is of second kind In summary, the Volterra integral equation is of the first kind if the unknown function u(x) appears only under the integral sign. However, the Volterra integral equation is of the second kind if the unknown function u(x) appears inside and outside the integral sign. #integralequation #volterraintegralequation #volterra #fredlomintegralequation #volterra_integral_equation #integralequation #kthmcollege #skclasses #puneuniversity #mscmathematics #engineeringmathematics #mathematics #maths what is volterra integral equation Volterra integral equation is of two type Volterra integral equation first kind Volterra integral equation of second kind Examples of volteraa integral equation Volterra integral equation hindi Volterra integral equaiton urdu Volterra integral equation is an type of integral equation Definition of volterra integral equation